Solve -2/3*-8/14*7/10=

$$\frac { - 2 } { 3 } \cdot \frac { - 8 } { 14 } \cdot \frac { 7 } { 10 } =$$

Evaluate

$$\frac{4}{15}\approx 0.266666667$$

Solution Steps

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$-\frac{2}{3}\times \frac{-8}{14}\times \frac{7}{10}$$

Reduce the fraction \frac{-8}{14} to lowest terms by extracting and canceling out 2.

$$-\frac{2}{3}\left(-\frac{4}{7}\right)\times \frac{7}{10}$$

Multiply -\frac{2}{3} times -\frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-2\left(-4\right)}{3\times 7}\times \frac{7}{10}$$

Do the multiplications in the fraction \frac{-2\left(-4\right)}{3\times 7}.

$$\frac{8}{21}\times \frac{7}{10}$$

Multiply \frac{8}{21} times \frac{7}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 7}{21\times 10}$$

Do the multiplications in the fraction \frac{8\times 7}{21\times 10}.

$$\frac{56}{210}$$

Reduce the fraction \frac{56}{210} to lowest terms by extracting and canceling out 14.

$$\frac{4}{15}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 5} = 0.26666666666666666$$